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Phys. Rev. D 62, 024002 (2000) [14 pages]

Mesoscopic fluctuations in stochastic spacetime

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K. Shiokawa*
Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

Received 18 January 2000; published 1 June 2000

Mesoscopic effects associated with wave propagation in spacetime with metric stochasticity are studied. We show that the scalar and spinor waves in a stochastic spacetime behave similarly to the electrons in a disordered system. Viewing this as the quantum transport problem, mesoscopic fluctuations in such a spacetime are discussed. The conductance and its fluctuations are expressed in terms of a nonlinear sigma model in the closed time path formalism. We show that the conductance fluctuations are universal, independent of the volume of the stochastic region and the amount of stochasticity.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.024002
DOI:
10.1103/PhysRevD.62.024002
PACS:
04.62.+v, 05.40.-a, 04.62.+v, 05.40.-a

*Email address: kshiok@phys.ualberta.ca